Question

solve the double inequality.
17 ≤ 10x - 16 ≤ 34
select the correct choice below and if necessary, fill in the answer boxes within your choice.
a. □ ≤ x ≤ □ (simplify your answer.)
b. all real numbers
c. no solution

Explanation:

Step1: Add 16 to all parts

$17 + 16 \leq 10x - 16 + 16 \leq 34 + 16$
$33 \leq 10x \leq 50$

Step2: Divide all parts by 10

$\frac{33}{10} \leq \frac{10x}{10} \leq \frac{50}{10}$
$3.3 \leq x \leq 5$

Answer:

A. $3.3 \leq x \leq 5$ (or $\frac{33}{10} \leq x \leq 5$)